GCSE Maths textbook

GCSE Maths Units and Compound Measures: lesson and practice questions

  • Strand Ratio, proportion and rates of change
  • Tier Foundation and Higher
  • Practice 144 questions with step-by-step solutions

Edexcel GCSE (9–1) Mathematics 1MA1, Foundation tier. Content references: R1, R10, R11, R13, N13, R14.

Open Foundation chapter Open Higher chapter

By the end of this chapter you will be able to

  • Change between metric units of length, mass, capacity and time
  • Convert area and volume units such as cm² to m²
  • Use imperial units and currency with a given conversion factor
  • Solve speed, distance and time problems, including km/h and m/s
  • Use density, pressure, rates of pay and unit prices
  • Recognise and use direct and inverse proportion in tables, graphs and equations
  • Interpret the gradient of a straight-line graph as a rate of change

You should already know

  • Multiplying and dividing by 10, 100 and 1000 (Chapter 1)
  • Decimals and rounding (Chapter 4)
  • Fractions of amounts (Chapter 3)
  • Ratio and unitary method (Chapter 15)

Where this leads

  • Straight-line graphs and rates of change (Chapter 12)
  • Volume and surface area (Chapter 19)
  • Similar shapes: length, area and volume scale factors (Chapter 21)
  • Gradients under graphs (Chapter 25)

Foundation lessons in this chapter

  1. 16.1 Metric units and time · Worksheet (PDF) · Answers (PDF)
  2. 16.2 Area and volume units · Worksheet (PDF) · Answers (PDF)
  3. 16.3 Imperial units and currency · Worksheet (PDF) · Answers (PDF)
  4. 16.4 Speed, distance and time · Worksheet (PDF) · Answers (PDF)
  5. 16.5 Density and pressure · Worksheet (PDF) · Answers (PDF)
  6. 16.6 Rates of pay, unit prices and best buys · Worksheet (PDF) · Answers (PDF)
  7. 16.7 Direct and inverse proportion · Worksheet (PDF) · Answers (PDF)
  8. Summary and key words

Read the whole Foundation chapter on one page (good for printing).

Higher lessons in this chapter

  1. 16.1 Metric units and time · Worksheet (PDF) · Answers (PDF)
  2. 16.2 Area and volume units · Worksheet (PDF) · Answers (PDF)
  3. 16.3 Imperial units and currency · Worksheet (PDF) · Answers (PDF)
  4. 16.4 Speed, distance and time · Worksheet (PDF) · Answers (PDF)
  5. 16.5 Density and pressure · Worksheet (PDF) · Answers (PDF)
  6. 16.6 Rates of pay, unit prices and best buys · Worksheet (PDF) · Answers (PDF)
  7. 16.7 Direct and inverse proportion · Worksheet (PDF) · Answers (PDF)
  8. Summary and key words

Read the whole Higher chapter on one page (good for printing).

Practise with real exam questions

Every exam board publishes its past papers and mark schemes free on its own website. We link you straight there, organised by subject.

GCSE Maths past papers